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Complete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y)

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dc.contributor.authorOguis, Giovanna Fae Ruizen_US
dc.contributor.authorMoyo, Sibusisoen_US
dc.contributor.authorMeleshko, S. V.en_US
dc.date.accessioned2017-02-14T07:00:02Z
dc.date.available2017-02-14T07:00:02Z
dc.date.issued2017-03
dc.description.abstractExtensive work has been done on the group classification of systems of equations in the literature. This paper identifies the gap in the literature which concerns the group classification of systems of two nonlinear second-order ordinary differential equations. We provide a complete group classification of systems of two ordinary differential equations of the form, which occur in many physical applications using two approaches which form the essence of this paper.en_US
dc.description.availabilityCopyright: 2017. Elsevier. Due to copyright restrictions, only the abstract is available. For access to the full text item, please consult the publisher's website. The definitive version of the work is published in Communications in Nonlinear Science and Numerical Simulation, Vol 44. Pp 318-333. http://www.sciencedirect.com/science/article/pii/S1007570416302982en_US
dc.dut-rims.pubnumDUT-005446en_US
dc.format.extent16 pen_US
dc.identifier.citationComplete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y). Communications in Nonlinear Science and Numerical Simulation. 44: 318-333.en_US
dc.identifier.doihttps://doi.org/10.1016/j.cnsns.2016.08.014
dc.identifier.issn1007-5704
dc.identifier.urihttp://hdl.handle.net/10321/2255
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.publisher.urihttp://www.sciencedirect.com/science/article/pii/S1007570416302982en_US
dc.relation.ispartofCommunications in nonlinear science & numerical simulationen_US
dc.subjectGroup classificationen_US
dc.subjectAutonomous systemsen_US
dc.subjectNonlinear systemsen_US
dc.subjectAdmitted lie groupen_US
dc.titleComplete group classification of systems of two nonlinear second-Order ordinary differential equations of the form y′′=F(y)en_US
dc.typeArticleen_US

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